oj.uz

Submission #1072608

# Submission time Handle Problem Language Result Execution time Memory
1072608 2024-08-23T23:42:56 Z HorizonWest Soccer Stadium (IOI23_soccer) C++17
77.5 / 100
 3918 ms 937604 KB 
#include <iostream>
#include <complex>
#include <iomanip>
#include <vector>
#include <algorithm>
#include <functional>
#include <bitset>
#include <queue>
#include <map>
#include <stack>
#include <cmath>
#include <cstdint>
#include <cassert>
using namespace std;

const int Max = 3001, Inf = 1e9, TLE = 5e6;

#define ll unsigned long long

int lg[Max], cnt; 

struct SPTMIN
{
    vector <vector <int>> spt; 

    int query(int i, int j){
        int x = lg[j-i+1];
        return min(spt[i][x], spt[j - (1LL << x) + 1][x]);
    }

    SPTMIN(vector <int> v)
    {
        int n = v.size();
        spt.assign(n + 1, vector <int> (lg[n] + 1, Inf));

        for(int j = 0; j < lg[n]+1; j++)
        {
            for(int i = 0; i < n; i++){
                if(j == 0){
                    spt[i][j] = v[i];
                    continue;
                }
                spt[i][j] = spt[i][j-1];
                if(i + (1LL << (j-1)) < n) spt[i][j] = min(spt[i][j-1], spt[i + (1LL << (j-1))][j-1]);
            }
        }
    }
};

struct SPTMAX
{
    vector <vector <int>> spt; 

    int query(int i, int j){
        int x = lg[j-i+1];
        return max(spt[i][x], spt[j - (1LL << x) + 1][x]);
    }

    SPTMAX(vector <int> v)
    {
        int n = v.size();
        spt.assign(n + 1, vector <int> (lg[n] + 1, 0));

        for(int j = 0; j < lg[n]+1; j++)
        {
            for(int i = 0; i < n; i++){
                if(j == 0){
                    spt[i][j] = v[i];
                    continue;
                }
                spt[i][j] = spt[i][j-1];
                if(i + (1LL << (j-1)) < n) spt[i][j] = max(spt[i][j-1], spt[i + (1LL << (j-1))][j-1]);
            }
        }
    }
};

int rnd(){
  	return abs(int(rand() ^ (rand() << 3LL) ^ (rand() << 6LL)));
}

int biggest_stadium(int n, std::vector<std::vector<int>> f)
{
    vector <vector<int>> A(n, vector <int> (n, 0)),
        B(n, vector <int> (n, 0)),
        C(n, vector <int> (n, 0)),
        D(n, vector <int> (n, 0)), 
        T(n, vector <int> (n, 0)); 

    vector <SPTMIN> sp1;
    vector <SPTMAX> sp2;

    cnt = 0;

    for(int i = 1; i <= n; i++){
        lg[i] = log2(i);
    }

    for(int i = 0; i < n; i++)
    {
        int last = -1; 
        for(int j = 0; j < n; j++){
            if(f[i][j] == 1) last = j; 
            A[i][j] = last;
        }   

        last = n;
        for(int j = n-1; j >= 0; j--){
            T[i][j] = last;
            if(f[i][j] == 1) {      
                if(j != n-1 && last == j+1){
                    T[i][j] = T[i][j+1];
                }else T[i][j] = j;
                last = j;
            } 
            B[i][j] = last;
        }     
    }

    for(int i = 0; i < n; i++)
    {
        int last = -1; 
        for(int j = 0; j < n; j++){
            if(f[j][i] == 1) last = j; 
            C[j][i] = last+1;
        }   

        last = n;
        for(int j = n-1; j >= 0; j--){
            if(f[j][i] == 1) last = j; 
            D[j][i] = last-1;
        }     
    }

    for(int i = 0; i < n; i++)
    {
        sp1.push_back(SPTMIN(D[i]));
        sp2.push_back(SPTMAX(C[i]));
    }
    
    //return 0;

    //vector <vector<vector<int>>> dp1(n + 1, vector <vector<int>> 
    //    (n + 1, vector <int> (n + 1, -1)));

    //vector <vector<vector<int>>> dp2(n + 1, vector <vector<int>> 
    //    (n + 1, vector <int> (n + 1, -1)));

    unordered_map <ll, int> dp; 

    auto F = [&](auto F, int i, int j, int a, int b, int c, int d) -> int 
    {   cnt++;

        long long x = ((ll) b) + (((ll) c) << 11LL) + (((ll) d) << 22LL) + (((ll) j) << 33LL) 
                               + (((ll) i) << 44LL) + (((ll) a) << 55LL);
        
        if(dp[x] != 0) return dp[x];
        dp[x] = (b - a + 1); 
        if(i != j) dp[x] += (d - c + 1);

        int mx = 0;

        if(i != 0)
        {
            for(int k = a; k <= b; k++) if(f[i-1][k] == 0)
            {
                int l1 = max(A[i-1][k]+1, a), r1 = min(B[i-1][k]-1, b);
                int l2 = max(c, l1), r2 =  min(d, r1);

                int ni = sp2[i].query(l1, r1), d = abs(ni - i) - 1, t = (r1 - l1 + 1);

                mx = max(mx, F(F, ni, j, l1, r1, l2, r2) - (r2 - l2 + 1) + d * t);

                k = r1;
            } else k = T[i-1][k];
        }

        if(j != n-1)
        {
            for(int k = c; k <= d; k++) if(f[j+1][k] == 0)
            {
                int l2 = max(A[j+1][k]+1, c), r2 = min(B[j+1][k]-1, d);
                int l1 = max(a, l2), r1 =  min(b, r2);

                int nj = sp1[j].query(l2, r2), d = abs(nj - j) - 1, t = (r2 - l2 + 1);

                mx = max(mx, F(F, i, nj, l1, r1, l2, r2) - (r1 - l1 + 1) + d * t);

                k = r2;
            } else k = T[j+1][k];
        }

        return dp[x] = (dp[x] + mx);
    };      
    
    int ans = 0; 
  	
  	srand(time(NULL));
  	vector <pair<int, int>> fx; 
  
    for(int i = 0; i < n; i++)
    {
        for(int j = 0; j < n; j++)
        {
            fx.push_back({ i, j });
        }
    }
  	
  	int mod = (int) fx.size(); 
 	for(int i = 0; i < (int) fx.size(); i++){
      int x = rnd() % mod;
      swap(fx[i], fx[x]);
    }
  
  	for(auto& u : fx)
    {
      int i = u.first, j = u.second; 
      
      if(f[i][j] == 1) continue; 
      
      int l = A[i][j]+1, r = B[i][j]-1;

      ans = max(ans, F(F, i, i, l, r, l, r));

      if(n > 500 && cnt > TLE) {
        return ans;
      }
    }

    return ans;
}

Subtask #0
0.0 / 0.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB ok

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB ok
2 Correct 0 ms 348 KB ok
3 Correct 0 ms 348 KB ok
4 Correct 0 ms 348 KB ok
5 Correct 0 ms 348 KB ok
6 Correct 0 ms 348 KB ok
7 Correct 3 ms 2140 KB ok
8 Correct 75 ms 44744 KB ok
9 Correct 1685 ms 833780 KB ok

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB ok
2 Correct 0 ms 348 KB ok
3 Correct 0 ms 344 KB ok
4 Correct 0 ms 344 KB ok
5 Correct 0 ms 348 KB ok
6 Correct 1 ms 348 KB ok
7 Correct 0 ms 348 KB ok
8 Correct 0 ms 348 KB ok
9 Correct 1 ms 348 KB ok
10 Correct 1 ms 348 KB ok
11 Correct 0 ms 348 KB ok
12 Correct 0 ms 348 KB ok
13 Correct 0 ms 348 KB ok

Subtask #3
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB ok
2 Correct 0 ms 348 KB ok
3 Correct 0 ms 348 KB ok
4 Correct 0 ms 344 KB ok
5 Correct 0 ms 344 KB ok
6 Correct 0 ms 348 KB ok
7 Correct 1 ms 348 KB ok
8 Correct 0 ms 348 KB ok
9 Correct 0 ms 348 KB ok
10 Correct 1 ms 348 KB ok
11 Correct 1 ms 348 KB ok
12 Correct 0 ms 348 KB ok
13 Correct 0 ms 348 KB ok
14 Correct 0 ms 348 KB ok
15 Correct 1 ms 348 KB ok
16 Correct 0 ms 348 KB ok
17 Correct 1 ms 348 KB ok
18 Correct 0 ms 348 KB ok
19 Correct 1 ms 348 KB ok
20 Correct 0 ms 348 KB ok
21 Correct 0 ms 348 KB ok
22 Correct 0 ms 348 KB ok
23 Correct 0 ms 348 KB ok
24 Correct 0 ms 348 KB ok
25 Correct 1 ms 348 KB ok
26 Correct 1 ms 348 KB ok

Subtask #4
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB ok
2 Correct 0 ms 348 KB ok
3 Correct 0 ms 348 KB ok
4 Correct 0 ms 348 KB ok
5 Correct 0 ms 348 KB ok
6 Correct 0 ms 344 KB ok
7 Correct 0 ms 344 KB ok
8 Correct 0 ms 348 KB ok
9 Correct 1 ms 348 KB ok
10 Correct 0 ms 348 KB ok
11 Correct 0 ms 348 KB ok
12 Correct 1 ms 348 KB ok
13 Correct 1 ms 348 KB ok
14 Correct 0 ms 348 KB ok
15 Correct 0 ms 348 KB ok
16 Correct 0 ms 348 KB ok
17 Correct 1 ms 348 KB ok
18 Correct 0 ms 348 KB ok
19 Correct 1 ms 348 KB ok
20 Correct 0 ms 348 KB ok
21 Correct 1 ms 348 KB ok
22 Correct 0 ms 348 KB ok
23 Correct 0 ms 348 KB ok
24 Correct 0 ms 348 KB ok
25 Correct 0 ms 348 KB ok
26 Correct 0 ms 348 KB ok
27 Correct 1 ms 348 KB ok
28 Correct 1 ms 348 KB ok
29 Correct 0 ms 348 KB ok
30 Correct 1 ms 604 KB ok
31 Correct 1 ms 604 KB ok
32 Correct 1 ms 348 KB ok
33 Correct 1 ms 348 KB ok
34 Correct 1 ms 348 KB ok
35 Correct 0 ms 348 KB ok
36 Correct 1 ms 348 KB ok
37 Correct 1 ms 348 KB ok
38 Correct 0 ms 348 KB ok
39 Correct 1 ms 600 KB ok
40 Correct 1 ms 348 KB ok
41 Correct 1 ms 604 KB ok

Subtask #5
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB ok
2 Correct 0 ms 348 KB ok
3 Correct 0 ms 348 KB ok
4 Correct 0 ms 348 KB ok
5 Correct 0 ms 348 KB ok
6 Correct 0 ms 344 KB ok
7 Correct 0 ms 344 KB ok
8 Correct 0 ms 348 KB ok
9 Correct 1 ms 348 KB ok
10 Correct 0 ms 348 KB ok
11 Correct 0 ms 348 KB ok
12 Correct 1 ms 348 KB ok
13 Correct 1 ms 348 KB ok
14 Correct 0 ms 348 KB ok
15 Correct 0 ms 348 KB ok
16 Correct 0 ms 348 KB ok
17 Correct 1 ms 348 KB ok
18 Correct 0 ms 348 KB ok
19 Correct 1 ms 348 KB ok
20 Correct 0 ms 348 KB ok
21 Correct 1 ms 348 KB ok
22 Correct 0 ms 348 KB ok
23 Correct 0 ms 348 KB ok
24 Correct 0 ms 348 KB ok
25 Correct 0 ms 348 KB ok
26 Correct 0 ms 348 KB ok
27 Correct 1 ms 348 KB ok
28 Correct 1 ms 348 KB ok
29 Correct 0 ms 348 KB ok
30 Correct 1 ms 604 KB ok
31 Correct 1 ms 604 KB ok
32 Correct 1 ms 348 KB ok
33 Correct 1 ms 348 KB ok
34 Correct 1 ms 348 KB ok
35 Correct 0 ms 348 KB ok
36 Correct 1 ms 348 KB ok
37 Correct 1 ms 348 KB ok
38 Correct 0 ms 348 KB ok
39 Correct 1 ms 600 KB ok
40 Correct 1 ms 348 KB ok
41 Correct 1 ms 604 KB ok
42 Correct 292 ms 58092 KB ok
43 Correct 219 ms 55928 KB ok
44 Correct 426 ms 63960 KB ok
45 Correct 265 ms 63932 KB ok
46 Correct 265 ms 63956 KB ok
47 Correct 77 ms 45344 KB ok
48 Correct 127 ms 49176 KB ok
49 Correct 99 ms 47812 KB ok
50 Correct 172 ms 57208 KB ok
51 Correct 158 ms 54212 KB ok
52 Correct 76 ms 46280 KB ok
53 Correct 69 ms 45088 KB ok
54 Correct 73 ms 46020 KB ok
55 Correct 84 ms 47300 KB ok
56 Correct 75 ms 45252 KB ok
57 Correct 153 ms 54208 KB ok
58 Correct 130 ms 54168 KB ok
59 Correct 138 ms 54132 KB ok

Subtask #6
7.5 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB ok
2 Correct 0 ms 348 KB ok
3 Correct 0 ms 348 KB ok
4 Correct 0 ms 348 KB ok
5 Correct 0 ms 348 KB ok
6 Correct 0 ms 348 KB ok
7 Correct 0 ms 348 KB ok
8 Correct 3 ms 2140 KB ok
9 Correct 75 ms 44744 KB ok
10 Correct 1685 ms 833780 KB ok
11 Correct 0 ms 344 KB ok
12 Correct 0 ms 344 KB ok
13 Correct 0 ms 348 KB ok
14 Correct 1 ms 348 KB ok
15 Correct 0 ms 348 KB ok
16 Correct 0 ms 348 KB ok
17 Correct 1 ms 348 KB ok
18 Correct 1 ms 348 KB ok
19 Correct 0 ms 348 KB ok
20 Correct 0 ms 348 KB ok
21 Correct 0 ms 348 KB ok
22 Correct 1 ms 348 KB ok
23 Correct 0 ms 348 KB ok
24 Correct 1 ms 348 KB ok
25 Correct 0 ms 348 KB ok
26 Correct 1 ms 348 KB ok
27 Correct 0 ms 348 KB ok
28 Correct 0 ms 348 KB ok
29 Correct 0 ms 348 KB ok
30 Correct 0 ms 348 KB ok
31 Correct 0 ms 348 KB ok
32 Correct 1 ms 348 KB ok
33 Correct 1 ms 348 KB ok
34 Correct 0 ms 348 KB ok
35 Correct 1 ms 604 KB ok
36 Correct 1 ms 604 KB ok
37 Correct 1 ms 348 KB ok
38 Correct 1 ms 348 KB ok
39 Correct 1 ms 348 KB ok
40 Correct 0 ms 348 KB ok
41 Correct 1 ms 348 KB ok
42 Correct 1 ms 348 KB ok
43 Correct 0 ms 348 KB ok
44 Correct 1 ms 600 KB ok
45 Correct 1 ms 348 KB ok
46 Correct 1 ms 604 KB ok
47 Correct 292 ms 58092 KB ok
48 Correct 219 ms 55928 KB ok
49 Correct 426 ms 63960 KB ok
50 Correct 265 ms 63932 KB ok
51 Correct 265 ms 63956 KB ok
52 Correct 77 ms 45344 KB ok
53 Correct 127 ms 49176 KB ok
54 Correct 99 ms 47812 KB ok
55 Correct 172 ms 57208 KB ok
56 Correct 158 ms 54212 KB ok
57 Correct 76 ms 46280 KB ok
58 Correct 69 ms 45088 KB ok
59 Correct 73 ms 46020 KB ok
60 Correct 84 ms 47300 KB ok
61 Correct 75 ms 45252 KB ok
62 Correct 153 ms 54208 KB ok
63 Correct 130 ms 54168 KB ok
64 Correct 138 ms 54132 KB ok
65 Correct 3918 ms 937604 KB ok
66 Correct 2868 ms 882544 KB ok
67 Correct 1733 ms 850492 KB ok
68 Correct 3619 ms 932392 KB ok
69 Correct 3572 ms 934816 KB ok
70 Partially correct 3794 ms 934152 KB partial
71 Correct 3795 ms 932412 KB ok
72 Correct 1938 ms 840608 KB ok
73 Correct 2830 ms 887984 KB ok
74 Correct 2967 ms 912312 KB ok
75 Correct 2873 ms 886640 KB ok
76 Correct 2069 ms 930792 KB ok
77 Correct 2103 ms 930396 KB ok
78 Correct 2774 ms 932976 KB ok
79 Correct 1522 ms 841064 KB ok
80 Correct 1493 ms 841332 KB ok
81 Correct 1845 ms 852252 KB ok
82 Correct 2789 ms 878924 KB ok
83 Correct 2526 ms 870300 KB ok
84 Correct 1402 ms 841576 KB ok
85 Correct 1310 ms 836976 KB ok
86 Correct 1564 ms 850568 KB ok
87 Correct 1638 ms 850544 KB ok
88 Correct 1629 ms 844388 KB ok
89 Correct 1696 ms 834816 KB ok
90 Correct 1624 ms 835692 KB ok
91 Correct 1786 ms 837736 KB ok
92 Correct 1750 ms 843364 KB ok
93 Correct 1819 ms 850276 KB ok
94 Correct 1448 ms 835700 KB ok
95 Correct 1448 ms 833352 KB ok
96 Correct 1277 ms 834172 KB ok
97 Correct 1306 ms 833340 KB ok
98 Correct 1333 ms 832676 KB ok
99 Correct 3270 ms 935328 KB ok
100 Correct 2133 ms 932828 KB ok
101 Correct 2187 ms 932664 KB ok
102 Correct 2177 ms 932664 KB ok
103 Correct 2208 ms 932900 KB ok
104 Correct 2122 ms 932764 KB ok
105 Correct 2098 ms 932760 KB ok
106 Correct 2071 ms 933212 KB ok
107 Correct 2149 ms 933224 KB ok
108 Correct 3671 ms 926816 KB ok
109 Correct 3665 ms 932424 KB ok